How do you find rate of change using a graph?

Answers

Answer 1

U find the rate of change by using the equation:

Y^2-y^1

————-

X^2-x^1

Answer 2

You can use the formula to find the rate of change:

Rate of change = (y₂ - y₁) / (x₂ - x₁)

To find the rate of change using a graph, you need to determine the slope of the graphed line or curve at a specific point. The slope represents the rate at which the dependent variable changes with respect to the independent variable.

Here's a step-by-step process to find the rate of change using a graph:

a) Identify two points on the graph that you want to calculate the rate of change between.

These points should have known coordinates (x₁, y₁) and (x₂, y₂).

b) Calculate the difference in the dependent variable (y) between the two points: Δy = y₂ - y₁.

c) Calculate the difference in the independent variable (x) between the two points: Δx = x₂ - x₁.

d) Divide the difference in the dependent variable by the difference in the independent variable: Δy/Δx.

e) The result of this calculation represents the average rate of change between the two points. If you want to find the instantaneous rate of change at a specific point, you can make the interval between the two points infinitesimally small by moving the points closer together. In this case, the rate of change will be represented by the slope of the tangent line to the graph at that point.

By following these steps, you can determine the rate of change at a particular point on a graph.

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Related Questions

Angles b and c are called____angles​

Answers

Answer:

The correct answer would be D they are vertical angles because their vertex touch

Step-by-step explanation:

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles opposite to each other at the intersection of two lines.

PLZ HELP ASAP NEED HELP
What are the zeros of the function f, where f (x) = 6 x2 – 9 x – 6?

Answers

Answer: [tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:

- You must rewrite it as following:

[tex]6x^2-9x-6=0[/tex]

-You can apply the Quadratic formula, which is shown below:

[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]

In this case:

[tex]a=6\\b=-9\\c=-6[/tex]

- Therefore, when you substitute values, you obtain:

[tex]x=\frac{-(-9)\±\sqrt{(-9)^2-4(6)(-6)}}{2(6)}[/tex]

[tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

write the equation of a circle with center of (5,-3) and a radius of 4​

Answers

Answer:

[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 4. Substitute:

[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]

How do I solve this?

Answers

Answer:

Step-by-step explanation:

Order the data from least to greatest

1,2,2,3,3,3,4,4,5,6,

Find the median.

3+3=6/2=2

Calculate the median of both the lower and upper half of the data.

Lower: 2+2=4/2=2. Upper: 4+5=9/2=4.5

The IQR is the difference between the upper and lower medians.

4.5 - 2= 2.5

Identify the domain of the function

Answers

The answer is C. is right

Answer:

C) (-4, 4]

Step-by-step explanation:

We have been given a graph of the function as shown in the picture. Now using that graph, we need to find the domain of the function and match with the given choices to find the correct domain.

Where given choices are :

A) [-4, 4)

B) [-4, 4]

C) (-4, 4]

D) (-4, 4)

Remember that we use ( or ) for open circle. and [ or ] for close circle.

Hence correct domain is

C) (-4, 4]

The point-slope form of the equation of the line that passes through (-5,-1) and (10,-7) 157Wt is the ), What is the standard form of the equation for this line?

Answers

Answer:

[tex]y + 1 = -\frac{2}{5}(x+5)[/tex]

and

2x + 15y = -15

Step-by-step explanation:

To write the point slope form, a point and a slope is required. Find the slope using the two points given and the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{-1 --7}{-5-10}= \frac{6}{-15} = -\frac{2}{5}[/tex]

Substitute -2/5 and the point (-5,-1) into the form. Then convert to make the standard form of the equation.

[tex]y - y_1 = m(x-x_1)\\y --1=-\frac{2}{5}(x--5)\\y + 1 = -\frac{2}{5}(x+5)[/tex]

Now convert to standard form by applying the distributive property and moving terms.

[tex]y + 1 = -\frac{2}{5}(x+5)\\y + 1 = -\frac{2}{5}x - 2\\y + 3 = -\frac{2}{5}x\\\frac{2}{5}x + y +3=0\\2x + 5y + 15 = 0\\2x + 15y = -15[/tex]

Arrange the numbers in decreasing order of their values.

Answers

Answer:

The numbers in decreasing order of their values are:

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is [tex]\sqrt{37}[/tex], we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

[tex]\sqrt{37}=6.0828[/tex]

The second number is a fraction, in decimal form will be:

[tex]\cfrac{19}{3}= 6.3333[/tex]

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

[tex]6.3333... > 6.0828...>6.08171...>6.012[/tex]

Lastly we can write the decreasing order using the numbers on their original form.

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

A chef uses 4.5
cups of tomatoes to make each batch of pasta sauce. If
represents the number of cups of sauce, which equation models this situation?

A.=4.5, where is the number of batches

B.=4.5 where is 1 batch of sauce

C.=4.5 where is the number of batches

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answers

Answer:

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

Help me solve this please

Answers

[tex] \cos(42) = \frac{ RS}{3} \\ RS = 3 \times \cos(42) \\ RS = - 1.19[/tex]

1.19

R is a 90 degree angle you can see that by looking for a square where the two live meet and s=42 add 90 to 42 to get your answer

Hope this helped! :)

the price p of a new house minus 20% down payment ​

Answers

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

1a. Javier jogs 3/4 of a mile in 8 1/2 minutes.

If he keeps the same pace, how many minutes does it take him to jog 1 mile?

(answer as a mixed number)

1b. A recipe for 1 1/4 dozen of cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cups of flour.

How many cupcakes can she make?

(answer as a mixed number)

Answers

Final answer:

Javier takes 5 1/8 minutes to jog 1 mile. Rashida can make 2 cupcakes with 1 cup of flour.

Explanation:

1a. To find out how many minutes it takes Javier to jog 1 mile, we can set up a proportion. Since he jogs 3/4 of a mile in 8 1/2 minutes, we can set up the equation: (3/4)/(8 1/2) = 1/x, where x is the number of minutes it takes him to jog 1 mile. To solve for x, we can cross multiply and simplify the equation.

First, we convert 8 1/2 to an improper fraction: 8 1/2 = 17/2.

Then, we can multiply both sides of the equation by 2 (to get rid of the denominator): (3/4) * 2 = (17/2) * (1/x). After simplifying, we get x = 5 1/8. Therefore, it takes Javier 5 1/8 minutes to jog 1 mile.

1b. To find out how many cupcakes Rashida can make with only 1 cup of flour, we can set up a proportion. Since the recipe calls for 1 2/3 cups of flour for 1 1/4 dozen of cupcakes, we can set up the equation: (1 2/3)/(1 1/4) = 1/x, where x is the number of cupcakes Rashida can make. To solve for x, we can cross multiply and simplify the equation.

First, we convert 1 2/3 to an improper fraction: 1 2/3 = 5/3.

Then, we can multiply both sides of the equation by 3 (to get rid of the denominator): (5/3) * 3 = (1 1/4) * (1/x). After simplifying, we get x = 2. Therefore, Rashida can make 2 cupcakes with 1 cup of flour.

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The equation of a circle is x^2 + y^2 -4x + 2y - 11 = 0. What are the center and the radius of the circle? Show your work.

Answers

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Answer:

Center at (-2, -1) and radius = 4

Step-by-step explanation:

We are given the following equation of a circle which we want to convert into the standard form:

[tex]x^2+y^2-4x+2y-11=0[/tex]

Note that

(x + a)² = x² + 2ax + a²

so that

x² + 2ax = (x + a)² - a²

So [tex]x^2+y^2-4x+2y-11=0[/tex]

[tex]x^2-4x+y^2+2y=11[/tex]

[tex](x-2)^2-2^2+(y+1)^2+1^2=11[/tex]

[tex](x-2)^2+(y+1)^2-5=11[/tex]

[tex](x-2)^2+(y+1)^2=16[/tex]

Therefore, this equation represents a circle with center at (-2, -1) and radius √16 = 4, as shown below.

Simplify the expression 5g + 5 -2g + g + 5h

Answers

Answer:

[tex]\large\boxed{5g+5-2g+g+5h=4g+5+5h}[/tex]

Step-by-step explanation:

[tex]5g+5-2g+g+5h\qquad\text{cobine like terms}\\\\=(5g-2g+g)+5+5h=4g+5+5h[/tex]

Solve the exponential function

Answers

Answer:

See below.

Step-by-step explanation:

Just like 18, continue with 19-21. Solve for x by rewriting each equation in log form.

[tex]e^x = 4.9\\\\x = ln 4.9\\\\x = 1.59[/tex]

When rewriting the form, the base of the exponent becomes the base of the log.

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 feet. Find the length of the rectangle.

Answers

Answer:

length = 21

Step-by-step explanation:

P = 2L + 2W,   L = 3W

P = 2(3W) + 2W = 56

8W = 56

W = 7

L = 3W = 3(7) = 21

Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.

Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:

Let P represent the perimeter of the rectangle and let L represent the unknown length of the rectangle.

Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.

Step 2. Substitute L into 3W that looks in the equation form like this: [tex]P = 2(3W) + 2W = 56.[/tex]

Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: [tex]8W = 56.[/tex]

Step 4. Divide both sides by 8 that looks in the equation form like this: [tex]W = 7.[/tex]

Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: [tex]L = 3W = 3(7) = 21.[/tex]

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Find the volume of a cone with a radius of 15cm and height of 4cm

Answers

15 cm x 4 = 60 cm

ANSWER = 60 cm

Answer:

251.33 or 251 1/3

Step-by-step explanation:

Identify four solutions of the equation y = 2^x

Answers

Answer:

(0,0) (1,2) (2,4) (3,6)

(0,0) (1,2) (2,4) (3,6)

-8x+4=36 What is the solution to this equation

Answers

Answer:

X= -4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-8x+4=36

-8x=36-4

-8x=32

x=32/(-8)

x=-4

How do I solve system of equations by substitution
3x-7y=41
x=-2y-21

Answers

Answer:

(-5;-8)

Step-by-step explanation:

-6y-63-7y=41

-13y=104

y=-8

x=-2*-8-21=-5

The solution is

The value of x = -5

The value of y = -8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation A is

3x - 7y = 41   be equation (1)

x = -2y - 21   be equation (2)

Now , substitute the value of equation (2) in equation (1) , we get

3x - 7y = 41

3 ( -2y - 21 ) - 7y = 41

On simplifying the equation , we get

-6y - 63 - 7y = 41

Adding 63 on both sides of the equation , we get

-13y = 104

Divide by -13 on both sides of the equation , we get

y = -8

So , the value of y = -8

Substitute the value of y in equation (2) , we get

x = -2y - 21

x = - 2 ( -8 ) - 21

x = 16 - 21

x = -5

So , the value of x = -5

Therefore , the value of x is -5 and y is -8

Hence ,

The value of x = -5

The value of y = -8

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Which of the following is not equivalent to 15!/10!5!

P(15, 10)

C(15, 10)

C(15, 5)

Answers

Answer:

P(15, 10)

Step-by-step explanation:

By definition;

[tex]nC_r=\binom{n}{r}=\frac{n!}{(n-r)!r!}[/tex]

and

[tex]nP_r=\binom{n}{r}=\frac{n!}{(n-r)!}[/tex]

This implies that;

[tex]15P_{10}=\binom{15}{10}=\frac{15!}{(15-10)!}=\frac{15!}{5!}[/tex]

[tex]15C_{10}=\binom{15}{10}=\frac{15!}{(15-10)!10!}=\frac{15!}{5!10!}[/tex]

[tex]15C_{5}=\binom{15}{5}=\frac{15!}{(15-5)!5!}=\frac{15!}{5!10!}[/tex]

What is the image of (4,7) after a reflection over the line y= - X ?

Answers

(-4, 7) would be the answer

A reflection of the point (4,7) over the line y=-x swaps and negates the x and y coordinates which leads to the new point being (-7,-4).

The image of the point (4,7) when reflected over the line y = -x is determined by essentially flipping the x and y coordinates of the original point and negating them.

This is because a reflection over the line y = -x swaps the x and y values and takes their opposite. Thus, the original point (4,7) would evolve into the point (-7,-4) after the reflection.

To break this down, the original x value was 4, and after reflection, this becomes -7 which is the new x-coordinate.

The original y value was 7, and after reflection, this becomes -4 which is the new y-coordinate. Therefore, the image of (4,7) after the reflection over the line y = -x is (-7,-4).

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A bag contains 10 marbles.four of them are red,three blue,two white and one yellow. A marble is drawn at ramdom. What is the probability that it is not a yellow?

Answers

Answer:

90% chance that it's not yellow

Step-by-step explanation:

Since there is 1 yellow that mean that 9/10 marbles are a different color

9/10 as a percentage is 90%

Hope this helps and have a blessed day!

Orlando bought some groceries that cost a total of $22.68. He used a $20 bill and a $10 bill to pay for the groceries. What are two different ways he could receive his change? What is his change?

Answers

Step-by-step explanation:  20+10=30

30-22.68 =7.22

1 way to receive his change: 1 five dollar bill, 2 one dollar bills, 6 dimes and 8 pennies.

1 different way to receive his change : 7 one dollar bills, 13 nickels and 3 pennies.

his change would be exactly $7.32. he could get all 1’s or a five and 2 ones

1/4 cups = _______ pt​

Answers

1/4 cup is equal to 0.125 pt

It equals 0.125 us liquid pints

what coordinates are 7 units away from (2,−7)

Answers

One coordinate that is 7 units away from (2,-7) is (2,0). (2,0) is 7 units to the right of (2,-7)

Another coordinate is (9,-7). This one also works.

Answer:

(-5,0) & (9-14)

Step-by-step explanation:

and or subtract seven from both and... BOOM you got your answer

Look at this linear equation. 3x + 5y = 30 Which of the following equations can be used to solve for y in the linear equation above? A. y = - x + 30 B. y = 3x + 6 C. y = - x + 6 D. y = x + 30

Answers

Answer:

[tex]y=-\frac{3}{5} x+6[/tex]

Step-by-step explanation:

Lets solve the equation [tex]3x+5y=30[/tex] for [tex]y[/tex] step-by-step:

Step 1. Subtract [tex]3x[/tex] from both sides of the equation

[tex]3x+5y=30[/tex]

[tex]3x-3x+5y=-3x+30[/tex]

[tex]5y=-3x+30[/tex]

Step 2. Divide both sides of the equation by 5

[tex]\frac{5y}{5} =\frac{-3x+30}{5}[/tex]

[tex]y=\frac{-3x+30}{5}[/tex]

[tex]y=-\frac{3}{5}x+\frac{30}{5}[/tex]

[tex]y=-\frac{3}{5} x+6[/tex]

We can conclude that the equation that can be used for solve for [tex]y[/tex] is [tex]y=-\frac{3}{5} x+6[/tex]

Answer:

y = -3x/5 + 6

Step-by-step explanation:

Given the equation 3x+5y = 30, to find the equation that can be used to solve for y, we will have to make y the subject of the formula from the given linear equation to have;

3x + 5y = 30

First we will subtract 3x from both sides of the equation to have;

3x+5y-3x = 30-3x

5y = 30-3x

Dividing both sides of the equation by the coefficient of y which is 5 we will have;

5y/5 = 30/5-3x/5

y = 6-(3x/5)

y = -3x/5 + 6

True r false? A circle could be circumscribed about the quadrilateral below?

Answers

Answer:

I would say its true

Step-by-step explanation:

In Spencer's garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is .

Answers

Answer:

1.5c-7=n

Step-by-step explanation:

Answer:

The required expression is 1.5c-7

Step-by-step explanation:

Here, c represents the number of carnation bushes,

Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,

That is, the number of roses = 1.5c - 7

Hence, the required expression that represents the number of roses is 1.5c - 7.

80 × 16 multiplication ​

Answers

Answer: 1280

Step-by-step explanation:

It's simple multiplication, Hopefully this helps:) Mark me the brainliest:)!!!

* ∞ 234483279c20∞

Answer:

1280

Step-by-step explanation:

just multiply 80

16 time and your will get 1280.

another way is to use the 8 in 80 and multiply by 8s 16 time then and yall get 128 then add the 0 from 80 and that's how you'll get 1280

Find the value of y.

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

[tex]\sqrt{3^2-1^2}\\2\sqrt{2}[/tex]

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